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Finding the Third Proportional to 8,344,026 and 17,327,543.63

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Solution

The third proportional to 8,344,026 and 17,327,543.63 is: 35,983,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,026 : 17,327,543.63 = 17,327,543.63 : x
  2. Step 2: Convert to fraction form
    8,344,026/17,327,543.63 = 17,327,543.63/x
  3. Step 3: Cross multiply
    8,344,026x = 17,327,543.63 × 17,327,543.63
  4. Step 4: Simplify right side
    8,344,026x = 300,243,768,076,278.12
  5. Step 5: Solve for x
    x = 300,243,768,076,278.12/8,344,026
  6. Step 6: Final answer
    x = 35,983,081.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.